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Yogita Ingle 5 years, 11 months ago
If each of the interior angles of a polygon is less than 180°, then it is called convex polygon.
If at least one angle of a polygon is more than 180°, then it is called a concave polygon.
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Yogita Ingle 5 years, 11 months ago
0 is the additive inverse and multiplicative inverse of 0.
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Yogita Ingle 5 years, 11 months ago
2x -3x (5x+8)
= 2x - 3x(5x) - 3x (8)
= 2x - 15x2 - 24x
= - 15x2 - 22x
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Yogita Ingle 5 years, 11 months ago
Closure property
For two rational numbers say x and y the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example:
- (7/6)+(2/5) = 47/30
- (5/6) – (1/3) = 1/2
Commutative law
For rational numbers, addition and multiplication are commutative.
Commutative law of addition: a+b = b+a
Commutative law of multiplication: a×b = b×a
Associative law
Rational numbers follow the associative property for addition and multiplication.
Suppose x, y and z are rational then for addition: x+(y+z)=(x+y)+z
For multiplication: x(yz)=(xy)z.
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Yogita Ingle 5 years, 11 months ago
The addition follows associative property i.e. regardless of how numbers are parenthesized the final sum of the numbers will be same. Associative property of addition states that:
(x+y)+z = x+(y+z)
Let us say, we want to add 5+10+4. It can be seen that the answer is 19. Now, let us group the numbers; put 5 and 10 in the bracket. We get,
⇒ (5+10)+4 = 15+4 = 19
Rule for the associative property of multiplication is:
(xy) z = x (yz)
On solving 5×3×2, we get 30 as product. Now as in addition, let’s group the terms:
⇒ (5 × 3) × 2 = 15 × 2 = 30 (BODMAS rule)
After regrouping,
⇒ 5 × (3 × 2) = 5 × 6 = 30
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R. Ahalya C. Ramu 5 years, 11 months ago
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